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Finding the Third Proportional to 813,730 and 1,183,659

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Solution

The third proportional to 813,730 and 1,183,659 is: 1,721,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,730 : 1,183,659 = 1,183,659 : x
  2. Step 2: Convert to fraction form
    813,730/1,183,659 = 1,183,659/x
  3. Step 3: Cross multiply
    813,730x = 1,183,659 × 1,183,659
  4. Step 4: Simplify right side
    813,730x = 1,401,048,628,281
  5. Step 5: Solve for x
    x = 1,401,048,628,281/813,730
  6. Step 6: Final answer
    x = 1,721,761.06

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.